Answer:
- m + m/4 + 3m/2 > 22
- m > 8 . . . . m restricted to multiples of 4, perhaps
Step-by-step explanation:
Let m represent the number of articles Mustafa has written. Then the total number of articles written must satisfy the inequality ...
m +m/4 +3m/2 > 22
This has solution ...
(11/4)m > 22
m > (4/11)22
m > 8 . . . . . . . . the solution to the inequality
If all the numbers are integers, and the ratios are exact, then we must have m be a multiple of 4 (that is, 4 times the number of articles Heloise wrote).
The solution set will be ...
m ∈ {12, 16, 20, 24, ...} (multiples of 4 greater than 8)
We can use a ratio expression to find the answer to this problem.
Set up the ratio.
4/5 = x/25
Multiply both sides by 25.
100/5 = x
Divide by 5.
20 = x
This means out of 25 times the ball is kicked toward the goal, the goalie will block it 20 times.
The factors of 48 are:
1 x 48
2 x 24
3 x 16
4 x 12
6 x 8
and visa versa: 48 x 1 etc.
To make the product negative, one of the factors has to be positive and one has to be negative. To find the greatest sum, make the bigger number the positive factor and the smaller number the negative factor. So, -1 x 48 = -48 and the sum of -1 + 48 = 47 which would be the greatest possible sum.
Answer: 1% red and 3% orange
explanation:
Not sure if its right but did my best!!
Answer:
1.
2.
3.
Step-by-step explanation:
1. The given polynomial is
We need to factor the second part to get:
We factor y-5 to obtain:
2. We have
We again factor -1 from the second part to get:
We now factor x-y to get:
3. We have
We factor negative 1 from the first part to get
We now factor b-3 to get:
We now simplify to get: